to be done by hand

3. A major university is interested in the effect on GMAT scores of the 2 factors: GMAT preparation program (3-hour review, 1-day program, 10-week course), and Type of Undergraduate Degree (Business, Engineering). 30 students who planned to attend Graduate School were randomly selected from each of the 2 undergraduate faculties and then randomly assigned to the 3 different preparation programs. The results follow. Source M.S. Treatments A (degree) 13172 B (preparation) AB interactions Error Total Y1 = 555.5 Y12. = 643.0 Y13. = 600.0 Y21. = 575.9 Y22 =687.1 Y23. = 624.4 Y, = 599.5 y2. = 629.13 y.1 = 565.7 y.2 = 665.05 3. =612.2 Fill in the degrees column in the ANOVA table. b ) Prepare an estimated treatment means plot. Does it appear that any factor effects are present? Explain. c) Given that: F* = MSAB/MSE = 0.09 with p-value 0.917 F* = MSA/MSE = 5.33 with p-value 0.008 F* = MSB/MSE = 1.42 with p-value 0.239 Give the conclusions for all appropriate tests of factor effects at significance level a = .05 . (The test conclusions based on the above results are all you need to give.) d) Use the Kimball inequality to obtain an upper bound on the family significance level for the tests in (c). e) Use the Tukey multiple comparison procedure to obtain all appropriate pairwise comparisons 10